Candy sells cupcakes. She makes \$2 on each cupcake she sells. Each month, she spends \$346 on supplies. Which of the following represents a break-even equation?

1 answer

To represent the break-even equation for Candy's cupcake business, we need to establish the relationship between her income from selling cupcakes and her expenses on supplies.

Let \( x \) represent the number of cupcakes sold.

Income from cupcakes: Since Candy makes $2 on each cupcake sold, her total income from selling \( x \) cupcakes can be represented as: \[ \text{Income} = 2x \]

Expenses on supplies: Candy spends $346 each month on supplies. Therefore, her expenses can be represented as: \[ \text{Expenses} = 346 \]

At the break-even point, her income equals her expenses. Thus, the break-even equation can be set up as follows: \[ 2x = 346 \]

This equation effectively represents the point where Candy generates enough income from selling her cupcakes to cover her costs.